This paper focuses on the application of a recently proposed non-iterative inversion method for three different imaging techniques for two phases materials. Specifically, two techniques concern the retrieval of the resistivity of a conductor (electrical resistance tomography and magnetic induction tomography) and one technique concerns the retrieval of the permittivity of a dielectric material ...

We describe a phantom which enables EEG and near-infrared optical tomography to be performed simultaneously over the same volume. The phantom provides a surface electrical contact impedance comparable to that of the human scalp, whilst also possessing an optical scattering coefficient and electrical conductivity equivalent to that of brain tissue. The construction of the phantom is described, a...

Abstract – In the past, electrical capacitance tomography (ECT) with circular sensors has been extensively investigated. For some industrial applications such as circulating fluidised beds, square sensors are required. Research into this specific area has been carried out at UMIST for the first time. To generate sensitivity maps, the Laplace equation is solved using a finite difference method (...

The inverse problem of Electrical Impedance Tomography (EIT) is that of imaging a spatially varying, complex admittivity function γ(x, ω) in a domain Ω ⊂ I R (n = 2 or 3), given measurements of low frequency ω alternating electrical currents and potentials at the boundary ∂Ω. The real and imaginary parts of admittivity γ(x, ω) are the electrical conductivity σ(x) and ω (x), respectively, where ...

Electrical impedance tomography (EIT) is a non-invasive technique that aims to reconstruct images of internal impedance values of a volume of interest, based on measurements taken on the external boundary. Since most reconstruction algorithms rely on model-based approximations, it is important to ensure numerical accuracy for the model being used. This work demonstrates and highlights the impor...

An investigation of 3-dimesional (3D) effects on electrical impedance tomography is reported. 3D effects in measurement, simulation and analytical models are described. A 3D attenuation range (75% attenuation) from the sensing plane is suggested as one third of process vessel’s diameter. The imaging trajectory of an axially moving object is found towards the central axis of a process vessel whe...

We introduce a novel inversion algorithm for electrical impedance tomography in two dimensions, based on a model reduction approach. The reduced models are resistor networks that arise in five point stencil discretizations of the elliptic partial differential equation satisfied by the electric potential, on adaptive grids that are computed as part of the problem. We prove the unique solvability...

In this work we present a parallel method for the solution of the inverse problem associated to Electrical Impedance Tomography (EIT). This technique tries to recover the spatial distribution of electrical conductivity in the interior of a body from electric potential measurements taken on the external boundary of the body. The problem we address in this work consists in estimating the shape an...

We report on the development of a new software package for image reconstruction in threedimensional Electrical Impedance Tomography (EIT). Designed for large-scale computations, the software includes mesh generation utilities, a simulator of the quasi-static electrical potential fields based on finite elements and regularized inversion algorithms. We describe in brief some of its main functions...

We survey mathematical developments in the inverse method of Electrical Impedance Tomography which consists in determining the electrical properties of a medium by making voltage and current measurements at the boundary of the medium. In the mathematical literature this is also known as Calderón’s problem from Calderón’s pioneer contribution [23]. We concentrate this article around the topic of...